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8412 = 223701

8412 has 12 divisors (see below), whose sum is σ = 19656. Its totient is φ = 2800.

The previous prime is 8389. The next prime is 8419. The reversal of 8412 is 2148.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 8391 and 8400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8419) by changing a digit.

8412 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 339 + ... + 362.

It is an arithmetic number, because the mean of its divisors is an integer number (1638).

It is an amenable number.

8412 is an abundant number, since it is smaller than the sum of its proper divisors (11244).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9828).

8412 is a wasteful number, since it uses less digits than its factorization.

8412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 706 counting only the distinct ones).

The product of its digits is 64, while the sum is 15.

The square root of 8412 is about 91.7169559024. The cubic root of 8412 is about 20.3376024957.

The spelling of 8412 in words is "eight thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 701 1402 2103 2804 4206 8412